TSTP Solution File: SEU053+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU053+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:23:38 EDT 2022
% Result : Theorem 4.74s 0.97s
% Output : CNFRefutation 4.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU053+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 01:57:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.37 # No SInE strategy applied
% 0.18/0.37 # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.18/0.37 #
% 0.18/0.37 # Presaturation interreduction done
% 0.18/0.37 # Number of axioms: 73 Number of unprocessed: 70
% 0.18/0.37 # Tableaux proof search.
% 0.18/0.37 # APR header successfully linked.
% 0.18/0.37 # Hello from C++
% 0.18/0.37 # The folding up rule is enabled...
% 0.18/0.37 # Local unification is enabled...
% 0.18/0.37 # Any saturation attempts will use folding labels...
% 0.18/0.37 # 70 beginning clauses after preprocessing and clausification
% 0.18/0.37 # Creating start rules for all 4 conjectures.
% 0.18/0.37 # There are 4 start rule candidates:
% 0.18/0.37 # Found 33 unit axioms.
% 0.18/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.18/0.37 # 4 start rule tableaux created.
% 0.18/0.37 # 37 extension rule candidate clauses
% 0.18/0.37 # 33 unit axiom clauses
% 0.18/0.37
% 0.18/0.37 # Requested 8, 32 cores available to the main process.
% 0.18/0.37 # There are not enough tableaux to fork, creating more from the initial 4
% 0.18/0.37 # Returning from population with 16 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.37 # We now have 16 tableaux to operate on
% 4.74/0.97 # There were 1 total branch saturation attempts.
% 4.74/0.97 # There were 0 of these attempts blocked.
% 4.74/0.97 # There were 0 deferred branch saturation attempts.
% 4.74/0.97 # There were 0 free duplicated saturations.
% 4.74/0.97 # There were 1 total successful branch saturations.
% 4.74/0.97 # There were 0 successful branch saturations in interreduction.
% 4.74/0.97 # There were 0 successful branch saturations on the branch.
% 4.74/0.97 # There were 1 successful branch saturations after the branch.
% 4.74/0.97 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.74/0.97 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.74/0.97 # Begin clausification derivation
% 4.74/0.97
% 4.74/0.97 # End clausification derivation
% 4.74/0.97 # Begin listing active clauses obtained from FOF to CNF conversion
% 4.74/0.97 cnf(i_0_62, negated_conjecture, (function(esk15_0))).
% 4.74/0.97 cnf(i_0_63, negated_conjecture, (relation(esk15_0))).
% 4.74/0.97 cnf(i_0_34, plain, (function(esk5_0))).
% 4.74/0.97 cnf(i_0_41, plain, (function(esk9_0))).
% 4.74/0.97 cnf(i_0_22, plain, (empty(empty_set))).
% 4.74/0.97 cnf(i_0_50, plain, (function(esk13_0))).
% 4.74/0.97 cnf(i_0_21, plain, (relation(empty_set))).
% 4.74/0.97 cnf(i_0_35, plain, (relation(esk5_0))).
% 4.74/0.97 cnf(i_0_36, plain, (relation(esk6_0))).
% 4.74/0.97 cnf(i_0_43, plain, (relation(esk9_0))).
% 4.74/0.97 cnf(i_0_44, plain, (relation(esk10_0))).
% 4.74/0.97 cnf(i_0_37, plain, (empty(esk6_0))).
% 4.74/0.97 cnf(i_0_40, plain, (empty(esk8_0))).
% 4.74/0.97 cnf(i_0_51, plain, (relation(esk13_0))).
% 4.74/0.97 cnf(i_0_53, plain, (relation(esk14_0))).
% 4.74/0.97 cnf(i_0_49, plain, (one_to_one(esk13_0))).
% 4.74/0.97 cnf(i_0_42, plain, (empty(esk9_0))).
% 4.74/0.97 cnf(i_0_20, plain, (relation_empty_yielding(empty_set))).
% 4.74/0.97 cnf(i_0_52, plain, (relation_empty_yielding(esk14_0))).
% 4.74/0.97 cnf(i_0_67, plain, (set_intersection2(X1,empty_set)=empty_set)).
% 4.74/0.97 cnf(i_0_56, plain, (subset(X1,X1))).
% 4.74/0.97 cnf(i_0_32, plain, (set_intersection2(X1,X1)=X1)).
% 4.74/0.97 cnf(i_0_46, plain, (empty(esk11_1(X1)))).
% 4.74/0.97 cnf(i_0_19, plain, (element(esk4_1(X1),X1))).
% 4.74/0.97 cnf(i_0_61, negated_conjecture, (set_intersection2(relation_image(esk15_0,X1),relation_image(esk15_0,X2))=relation_image(esk15_0,set_intersection2(X1,X2)))).
% 4.74/0.97 cnf(i_0_10, plain, (in(X1,singleton(X1)))).
% 4.74/0.97 cnf(i_0_47, plain, (element(esk11_1(X1),powerset(X1)))).
% 4.74/0.97 cnf(i_0_7, plain, (set_intersection2(X1,X2)=set_intersection2(X2,X1))).
% 4.74/0.97 cnf(i_0_60, negated_conjecture, (~one_to_one(esk15_0))).
% 4.74/0.97 cnf(i_0_45, plain, (~empty(esk10_0))).
% 4.74/0.97 cnf(i_0_48, plain, (~empty(esk12_0))).
% 4.74/0.97 cnf(i_0_26, plain, (~empty(singleton(X1)))).
% 4.74/0.97 cnf(i_0_24, plain, (~empty(powerset(X1)))).
% 4.74/0.97 cnf(i_0_74, plain, (~empty(X1)|~in(X2,X1))).
% 4.74/0.97 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 4.74/0.97 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 4.74/0.97 cnf(i_0_73, plain, (X1=empty_set|~empty(X1))).
% 4.74/0.97 cnf(i_0_30, plain, (relation(relation_dom(X1))|~empty(X1))).
% 4.74/0.97 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))).
% 4.74/0.97 cnf(i_0_64, plain, (relation_image(X1,empty_set)=empty_set|~relation(X1))).
% 4.74/0.97 cnf(i_0_75, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 4.74/0.97 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 4.74/0.97 cnf(i_0_38, plain, (empty(X1)|~empty(esk7_1(X1)))).
% 4.74/0.97 cnf(i_0_66, plain, (element(X1,X2)|~in(X1,X2))).
% 4.74/0.97 cnf(i_0_29, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 4.74/0.97 cnf(i_0_31, plain, (empty(relation_dom(X1))|~empty(X1))).
% 4.74/0.97 cnf(i_0_23, plain, (relation(set_intersection2(X1,X2))|~relation(X2)|~relation(X1))).
% 4.74/0.97 cnf(i_0_12, plain, (disjoint(X1,X2)|set_intersection2(X1,X2)!=empty_set)).
% 4.74/0.97 cnf(i_0_14, plain, (one_to_one(X1)|esk3_1(X1)!=esk2_1(X1)|~relation(X1)|~function(X1))).
% 4.74/0.97 cnf(i_0_70, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 4.74/0.97 cnf(i_0_72, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 4.74/0.97 cnf(i_0_58, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 4.74/0.97 cnf(i_0_33, plain, (empty(X1)|empty(X2)|~disjoint_nonempty(X1,X1))).
% 4.74/0.97 cnf(i_0_13, plain, (set_intersection2(X1,X2)=empty_set|~disjoint(X1,X2))).
% 4.74/0.97 cnf(i_0_69, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 4.74/0.97 cnf(i_0_68, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 4.74/0.97 cnf(i_0_65, plain, (X1=X2|disjoint(singleton(X1),singleton(X2)))).
% 4.74/0.97 cnf(i_0_39, plain, (element(esk7_1(X1),powerset(X1))|empty(X1))).
% 4.74/0.97 cnf(i_0_11, plain, (X1=X2|~in(X1,singleton(X2)))).
% 4.74/0.97 cnf(i_0_55, plain, (disjoint(X1,X2)|empty(X1)|empty(X2)|~disjoint_nonempty(X1,X2))).
% 4.74/0.97 cnf(i_0_9, plain, (X1=singleton(X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 4.74/0.97 cnf(i_0_54, plain, (disjoint_nonempty(X1,X2)|empty(X1)|empty(X2)|~disjoint(X1,X2))).
% 4.74/0.97 cnf(i_0_17, plain, (one_to_one(X1)|in(esk2_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 4.74/0.97 cnf(i_0_16, plain, (one_to_one(X1)|in(esk3_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 4.74/0.97 cnf(i_0_71, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 4.74/0.97 cnf(i_0_57, plain, (disjoint_nonempty(X1,X2)|empty(X2)|empty(X1)|~disjoint_nonempty(X2,X1))).
% 4.74/0.97 cnf(i_0_15, plain, (apply(X1,esk3_1(X1))=apply(X1,esk2_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 4.74/0.97 cnf(i_0_8, plain, (esk1_2(X1,X2)=X1|X2=singleton(X1)|in(esk1_2(X1,X2),X2))).
% 4.74/0.97 cnf(i_0_59, plain, (relation_image(X1,singleton(X2))=singleton(apply(X1,X2))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 4.74/0.97 cnf(i_0_18, plain, (X1=X2|apply(X3,X1)!=apply(X3,X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~in(X2,relation_dom(X3))|~in(X1,relation_dom(X3)))).
% 4.74/0.97 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 4.74/0.97 # Begin printing tableau
% 4.74/0.97 # Found 5 steps
% 4.74/0.97 cnf(i_0_63, negated_conjecture, (relation(esk15_0)), inference(start_rule)).
% 4.74/0.97 cnf(i_0_81, plain, (relation(esk15_0)), inference(extension_rule, [i_0_23])).
% 4.74/0.97 cnf(i_0_320, plain, (~relation(empty_set)), inference(closure_rule, [i_0_21])).
% 4.74/0.97 cnf(i_0_319, plain, (relation(set_intersection2(esk15_0,empty_set))), inference(extension_rule, [i_0_64])).
% 4.74/0.97 cnf(i_0_407, plain, (relation_image(set_intersection2(esk15_0,empty_set),empty_set)=empty_set), inference(etableau_closure_rule, [i_0_407, ...])).
% 4.74/0.97 # End printing tableau
% 4.74/0.97 # SZS output end
% 4.74/0.97 # Branches closed with saturation will be marked with an "s"
% 4.74/0.98 # Child (28055) has found a proof.
% 4.74/0.98
% 4.74/0.98 # Proof search is over...
% 4.74/0.98 # Freeing feature tree
%------------------------------------------------------------------------------